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A Square Problem (Posted on 2004-12-26) Difficulty: 4 of 5
Given a unit cube, what is the largest square that can be placed completely inside the cube?

No Solution Yet Submitted by SilverKnight    
Rating: 4.0000 (5 votes)

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Some Thoughts Good question! | Comment 1 of 17
I haven't come up with anything bigger than a unit square yet, despite several attempts.  It feels like there ought to be something bigger, but I guess my 3-D intuition is failing me.

I can come up with lots of bigger rectangles!

Edited on December 26, 2004, 4:38 pm
  Posted by Steve Herman on 2004-12-26 16:38:15

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